Comic-book superheroes are sometimes able to punch holes through steel walls. (a) If the ultimate shear strength of steel is taken to be 2.50 x 108 Pa, what force is required to punch through a steel plate 2.00 cm thick? Assume the superhero’s fist has cross-sectional area of 1.00 x 102 cm2 and is approximately circular. (b) Qualitatively, what would happen to the superhero on delivery of the punch? What physical law applies?

7.15 A new sports stadium is being proposed for a city in North Dakota. Some of the project details are as follows. To prepare for the footing and foundation 300 000 cubic yards of dirt will need to be removed. It will have an inflatable roof that covers 10.0 acres and its interior volume will be 60.0 × 106 cubic feet. During construction, 40.0 × 103 cubic yards of concrete, 11.9 × 103 tons of reinforcing steel and 5.00 × 102 tons of structural steel will be utilized. The roof material will include an outer layer of Teflon-coated fiberglass together with an inner layer of woven fiberglass. Given this information, answer the following: (a) If removed evenly over the 10 acres, how deep of a hole would be formed as a result of the excavation? (b) What is the total mass of concrete and steel in lbm? (c) If the two-layer fiberglass roofing material has a mass of 0.6667 lbm/ft², what is the total mass of the roof? (d) If 10.0 in, of wet snow is collected on the roof, what is the added mass…

A cube with edges exactly 3.00 cm long is made of material with a bulk modulus of 7.00 x 10 9 N/m 2. When it is subjected to a pressure of 6.00 x 107 Pa its final volume in cm 3 is:

Between each pair of vertebrae in the spinal column is a cylindrical disc of cartilage. Suppose that such a particular disc of cartilage has a a radius of 3.118 cm (100cm = 1 meter) and a thickness of 6.877 mm (1000mm= 1meter).  The shear modulus of cartilage is 1.2 × 107 N/m2. Suppose that a shearing force of magnitude 9 N is applied parallel to the top surface of the disc while the bottom surface remains fixed in place. How far does the top surface move relative to the bottom surface in microns (1 meter = 106 microns)?

A vertebra is subjected to a shearing force of 5.0 x 10° N. Find the shear deformation, taking the vertebra to be a cylinder 3.00 cm high and 4.00 cm in diameter. The shear modulus for vertebrae is 8.0 x 1010 N/m. shear deformation:

What is the change in volume of 1.25x 10° cm³ of benzene when it is subjected to a stress of 5.26 x 107 N/m??

To compress a liquid by 10 % of its original volume, the pressure required is 2 x 105 N/m². The bulk modulus of liquid is (a) 2 x 105 N/m? (b) 2 x 107 N/m? (c) 2 x 10° N/m² (d) 2 x 106 N/m?

A shearing force of 75 N is applied to an aluminum rod with a length of 10 m, a cross-sectional area of 1.0 x 10-5 m2, and a shear modulus of 25 x 109 N/m2. As a result the rod is sheared through a distance in mm of:

Two wooden members, each having a width of b = 2.4 in. and a depth of d = 0.8 in., are joined by a simple glued scarf joint. Assume B = 47°. If the allowable shear stress for the glue used in the joint is 94 psi, what is the largest axial load P that may be applied? Answer: P = i ! Ib

A steel wire of diameter 1mm can support a tension of 0.2 kN. Determine the diameter of a steel cable to support a tension of 20kN?